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Finding the Fourth Proportional to 403,691.80, 605,537.70 and 309,213.40

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Solution

The fourth proportional to 403,691.80, 605,537.70 and 309,213.40 is: 463,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,691.80 : 605,537.70 = 309,213.40 : x
  2. Step 2: Convert to fraction form
    403,691.80/605,537.70 = 309,213.40/x
  3. Step 3: Cross multiply
    403,691.80x = 605,537.70 × 309,213.40
  4. Step 4: Simplify right side
    403,691.80x = 187,240,371,045.18
  5. Step 5: Solve for x
    x = 187,240,371,045.18/403,691.80
  6. Step 6: Final answer
    x = 463,820.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.